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POST UTME KSU 2023 Physics | Objective

Are you preparing for POST UTME KSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A light ray passes from air into a glass slab of thickness $t$ and re\fractive index $mu$. If the angle of incidence is $i$, what is the angle of re\fraction $r$?

A. \frac{\sin i}{\sin r} = \frac{1}{\mu}

Correct B. \frac{\sin i}{\sin r} = \frac{\mu}{1}

C. \frac{\sin i}{\sin r} = \frac{1}{\mu^2}

D. \frac{\sin i}{\sin r} = \frac{\mu^2}{1}

Correct Answer: B

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Question 2

A particle of mass $m$ is projected at an angle $\theta$ to the horizontal with an initial velocity $v_0$. If air resis\tance is negligible, what is the time of flight?

A. T = \frac{2v_0\cos\theta}{g}

Correct B. T = \frac{2v_0\sin\theta}{g}

C. T = \frac{2v_0\cos\theta}{g^2}

D. T = \frac{2v_0\sin\theta}{g^2}

Correct Answer: B

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Question 3

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an AC voltage source of frequency $f$, what is the impedance $Z$?

A. Z = \sqrt{R^2 + $ \omega L + \frac{1}{\omega C} $^2}

Correct B. Z = \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}

C. Z = \sqrt{R^2 + $ \omega L + \frac{1}{\omega C} $^2}

D. Z = \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}

Correct Answer: B

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Question 4

A heat engine operates between two temperatures $T_1$ and $T_2$. If the engine has an efficiency of $\eta$, what is the temperature $T_2$?

Correct A. T_2 = T_1$ 1 - \eta $

B. T_2 = T_1$ 1 + \eta $

C. T_2 = T_1$ \eta - 1 $

D. T_2 = T_1$ \eta + 1 $

Correct Answer: A

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Question 5

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If air resis\tance is negligible, what is the maximum height reached?

A. h_{max} = \frac{v_0^2\cos^2\theta}{2g}

Correct B. h_{max} = \frac{v_0^2\sin^2\theta}{2g}

C. h_{max} = \frac{v_0^2\cos^2\theta}{g}

D. h_{max} = \frac{v_0^2\sin^2\theta}{g}

Correct Answer: B

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Question 6

A point charge of 2 μC is placed at the center of a hollow, conducting sphere of radius 0.1 m. What is the electric flux through the surface of the sphere?

Correct A. $ \frac{2 \times 10^{-6} , \text{C}}{8.854 \times 10^{-12} , \text{F/m}} $

B. $ \frac{2 \times 10^{-6} , \text{C}}{4.427 \times 10^{-12} , \text{F/m}} $

C. $ \frac{2 \times 10^{-6} , \text{C}}{17.652 \times 10^{-12} , \text{F/m}} $

D. $ \frac{2 \times 10^{-6} , \text{C}}{35.304 \times 10^{-12} , \text{F/m}} $

Correct Answer: A

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Question 7

A \sinusoidal voltage source with a peak value of 10 V and a frequency of 50 Hz is connected to a 100 Ω resistor. What is the rms value of the current flowing through the resistor?

Correct A. $ \frac{10 , \text{V}}{\sqrt{2} \times 100 , Omega} $

B. $ \frac{10 , \text{V}}{\sqrt{2} \times 50 , Omega} $

C. $ \frac{10 , \text{V}}{\sqrt{2} \times 200 , Omega} $

D. $ \frac{10 , \text{V}}{\sqrt{2} \times 500 , Omega} $

Correct Answer: A

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Question 8

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

Correct A. $ \sqrt{\frac{100 , \text{N/m}}{2 , \text{kg}}} $

B. $ \sqrt{\frac{100 , \text{N/m}}{0.2 , \text{m}}} $

C. $ \sqrt{\frac{100 , \text{N/m}}{0.1 , \text{m}}} $

D. $ \sqrt{\frac{100 , \text{N/m}}{0.5 , \text{m}}} $

Correct Answer: A

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Question 9

A 5 μF capacitor is connected in series with a 10 kΩ resistor. A voltage source with a peak value of 20 V is connected across the circuit. What is the time cons\tant of the circuit?

Correct A. $ 5 , mu\text{F} \times 10 , \text{kΩ} $

B. $ 5 , mu\text{F} \times 100 , \text{kΩ} $

C. $ 5 , mu\text{F} \times 500 , \text{kΩ} $

D. $ 5 , mu\text{F} \times 1000 , \text{kΩ} $

Correct Answer: A

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Question 10

A point charge of 3 μC is placed at a dis\tance of 0.5 m from a point charge of -2 μC. What is the electric potential at the point midway between the two charges?

Correct A. $ \frac{3 , mu\text{C}}{0.5 , \text{m}} - \frac{2 , mu\text{C}}{0.5 , \text{m}} $

B. $ \frac{3 , mu\text{C}}{0.5 , \text{m}} + \frac{2 , mu\text{C}}{0.5 , \text{m}} $

C. $ \frac{3 , mu\text{C}}{0.25 , \text{m}} - \frac{2 , mu\text{C}}{0.25 , \text{m}} $

D. $ \frac{3 , mu\text{C}}{0.25 , \text{m}} + \frac{2 , mu\text{C}}{0.25 , \text{m}} $

Correct Answer: A

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Question 11

A block of mass 2 kg is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum kinetic energy of the block as a function of the amplitude of the motion.

Correct A. $ K_{max} = \frac{1}{2} m omega^2 A^2 $

B. $ K_{max} = \frac{1}{2} m omega^2 x_0^2 $

C. $ K_{max} = \frac{1}{2} k A^2 $

D. $ K_{max} = \frac{1}{2} k x_0^2 $

Correct Answer: A

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Question 12

A 10 kg block is moving in a circular path with a cons\tant speed of 5 m/s. The block is subject to a centripetal force of 20 N. What is the radius of the circular path?

Correct A. $ r = \frac{v^2}{F_c} $

B. $ r = \frac{F_c}{m} $

C. $ r = \frac{m v^2}{F_c} $

D. $ r = \frac{F_c}{m v^2} $

Correct Answer: A

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Question 13

A capacitor consists of two parallel plates, each with an area of 0.01 m^2. The plates are separated by a dis\tance of 0.001 m and are charged to a potential difference of 10 V. What is the capaci\tance of the capacitor?

Correct A. $ C = \frac{epsilon_0 A}{d} $

B. $ C = \frac{epsilon_0 A}{V} $

C. $ C = \frac{V}{epsilon_0 A} $

D. $ C = \frac{A}{epsilon_0 d} $

Correct Answer: A

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Question 14

A heat engine operates between two temperatures, 500 K and 300 K. The engine has an efficiency of 30%. What is the temperature of the hot reservoir?

Correct A. $ T_h = \frac{1}{1 - eta} T_c $

B. $ T_h = \frac{eta}{1 - eta} T_c $

C. $ T_h = \frac{T_c}{1 - eta} $

D. $ T_h = \frac{T_c}{eta} $

Correct Answer: A

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Question 15

A gas expands from an initial volume of 0.1 m^3 to a final volume of 0.5 m^3 at a cons\tant temperature of 300 K. What is the work done by the gas?

Correct A. $ W = P Delta V $

B. $ W = \frac{P Delta V}{T} $

C. $ W = P V Delta T $

D. $ W = \frac{P V Delta T}{T} $

Correct Answer: A

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Question 16

A gas is enclosed in a container of volume 2.5 m³ at a temperature of 300 K. If the pressure is increased to 2 atm, what is the new volume of the gas?

Correct A. 1.25 m³

B. 2.5 m³

C. 5 m³

D. 10 m³

Correct Answer: A

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Question 17

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 0.5 m/s

B. 1 m/s

Correct C. 2 m/s

D. 5 m/s

Correct Answer: C

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Question 18

A 2 kg object is moving in a circular path with a radius of 3 m. If the object has a speed of 4 m/s, what is the magnitude of the net force acting on the object?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 19

A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output?

A. 100 J

B. 200 J

C. 300 J

Correct D. 400 J

Correct Answer: D

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Question 20

A particle of mass 1 kg is moving in a straight line with an initial velocity of 2 m/s. If the particle experiences a cons\tant acceleration of 3 m/s², what is the velocity of the particle after 4 seconds?

A. 5 m/s

B. 6 m/s

Correct C. 7 m/s

D. 8 m/s

Correct Answer: C

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Question 21

A coil of wire is placed in a magnetic field with a magnetic flux density of 0.5 T. If the coil has 100 turns and a cross-sectional area of 0.01 m^2, what is the induced emf in the coil?

A. 0.25 V

B. 0.5 V

Correct C. 1 V

D. 2 V

Correct Answer: C

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Question 22

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1 atm, what is the final pressure?

A. 1.33 atm

Correct B. 1.5 atm

C. 2 atm

D. 3 atm

Correct Answer: B

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Question 23

A wave has a frequency of 50 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 25 m/s

Correct B. 50 m/s

C. 100 m/s

D. 200 m/s

Correct Answer: B

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Question 24

A particle has a wave function given by \psi(x) = Ae^{ikx}. What is the probability density of the particle?

A. |A|^2e^{-2kx}

B. |A|^2e^{2kx}

Correct C. |A|^2

D. |A|^2e^{ikx}

Correct Answer: C

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Question 25

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 100 Ω resistor connected in series. If a voltage of 20 V is applied across the circuit, what is the current through the 100 Ω resistor?

A. 0.2 A

B. 0.4 A

Correct C. 0.6 A

D. 0.8 A

Correct Answer: C

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